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3 years ago

Write the domain and range as inequalities

Mathematics

1 answer:

jeyben [28]3 years ago

3 0

Answer:

Domain: -∞<x<∞

range: -2≤y<∞

Step-by-step explanation:

domain is basically all the x values of the set. The parabola is facing up, meaning that it extends forever upward and out. This would mean the x values of the graph reach from neg to positive infinity

range is basically all the y values of the graph. The lowest y value, as shown by the vertex is -2. As said earlier, the parabola is facing upward, extending forever upward meaning that the highest y value is positive infinity

for infinity, always use these < or >

for numbers that are included in the graph such as -2 in this case, use ≤ or≥

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Which process will create a figure that is congruent to the figure shown?<br><br> A , B , C or D ?

Darya [45]

I believe the answer would be B

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2 years ago

How do I find the y intercept in a fraction

Furkat [3]

ANSWER:

Both functions have the same slope

The linear equation does not have a y-intercept

The table and the grahp express an equivalent function

STEP-BY-STEP EXPLANATION:

In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

$\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}$

The formula to calculate the slope is the following:

$m=\frac{y_2-y_1}{x_2-x_1}$

The points are (-6, -9/2) and (4,3), replacing:

$m=\frac{3-(-\frac{9}{2})}{4-(-6)}=\frac{3+\frac{9}{2}}{4+6}=\frac{\frac{15}{2}}{10}=\frac{15}{20}=\frac{3}{4}$

The slope is 3/4

Now, for b

x = 4

y = 3

m = 3/4

replacing:

$\begin{gathered} 3=\frac{3}{4}\cdot4+b \\ b=3-3 \\ b=0 \end{gathered}$

The equation is:

$y=\frac{3}{4}x$

Therefore, the true statements are:

• Both functions have the same slope

• The linear equation does not have a y-intercept

• The table and the grahp express an equivalent function

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11 months ago

Determine if the following sequence is an Arithmetic Sequence. If it is, what would be the 31st term? NOTE: an=a1+(n-1)d

Ivan

<h3>Key points :-</h3>

᪥ The formula to find the 31st term is : $\sf \: a_{n} = a_{1} + (n - 1) \times d$

᪥ In the formula, $\sf \: a_{1}$ represents the first term of the sequence.

᪥ $\sf\:n$ is the number of terms, In our case n is 31.

᪥ $\sf\:d$ is the common difference between the terms, In our case d is 4.

$\green{ \rule{300pt}{3pt}}$

<em>Detailed Solution is attached</em>᭄

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2 years ago

Read 2 more answers

What is 87,200,000 written in scientific notation?

Elan Coil [88]

Answer:

8.72 • 10^7

Step-by-step explanation:

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3 years ago

Read 2 more answers

X+6 /3 = 2+x-2/5

olasank [31]

We can treat this problem like you regularly subtract fractions. First find the common denominator, which is 15.

So:

5(x+6)/15 = 30/15 + 3(x-2)/15

(5x+6)/15 - (30/15) - (3x - 6)/15

As you already know the answer, I'm assuming you can do the rest.

Hope this helps!

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3 years ago